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Home » Thus, the smallest such \( N \) is: - 500apps

Thus, the smallest such \( N \) is: - 500apps

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 A quadratic equation \( ax^2 + bx + c = 0 \) has roots 4 and -3. If \( a = 1 \), what are the values of \( b \) and \( c \)?

📌 Using Vieta's formulas, the sum and product of the roots are given by:

📌 Sum of roots: \( 4 + (-3) = 1 = -\frac{b}{a} \)

📌 Since \( a = 1 \),

📌 \[ -b = 1 \Rightarrow b = -1 \]

📌 Product of roots: \( 4 \times (-3) = -12 = \frac{c}{a} \)

📌 \[ c = -12 \]

📌 #### b = -1, c = -12

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